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Finding the Fourth Proportional to 16,007.20, 24,014.40 and 4,914.40

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Solution

The fourth proportional to 16,007.20, 24,014.40 and 4,914.40 is: 7,372.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.20 : 24,014.40 = 4,914.40 : x
  2. Step 2: Convert to fraction form
    16,007.20/24,014.40 = 4,914.40/x
  3. Step 3: Cross multiply
    16,007.20x = 24,014.40 × 4,914.40
  4. Step 4: Simplify right side
    16,007.20x = 118,016,367.36
  5. Step 5: Solve for x
    x = 118,016,367.36/16,007.20
  6. Step 6: Final answer
    x = 7,372.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.